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This article is cited in 5 scientific papers (total in 5 papers)
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Fenga, Yasuhiro Ohtab a School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USA
b Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
Abstract:
In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component semi-discrete NLS equation. The asymptotic behavior is analysed for two-soliton solutions.
Keywords:
bright-dark soliton; semi-discrete vector NLS equation; Hirota's bilinear method; Pfaffian.
Received: April 25, 2017; in final form September 3, 2017; Published online September 6, 2017
Citation:
Bao-Feng Feng, Yasuhiro Ohta, “$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation”, SIGMA, 13 (2017), 071, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1271 https://www.mathnet.ru/eng/sigma/v13/p71
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